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Finding the Fourth Proportional to 268,798.83, 403,258.37 and 81,824.91

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Solution

The fourth proportional to 268,798.83, 403,258.37 and 81,824.91 is: 122,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,798.83 : 403,258.37 = 81,824.91 : x
  2. Step 2: Convert to fraction form
    268,798.83/403,258.37 = 81,824.91/x
  3. Step 3: Cross multiply
    268,798.83x = 403,258.37 × 81,824.91
  4. Step 4: Simplify right side
    268,798.83x = 32,996,579,422.87
  5. Step 5: Solve for x
    x = 32,996,579,422.87/268,798.83
  6. Step 6: Final answer
    x = 122,755.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.